Soundtronics is a company that manufactures inexpensive headphones at a high volume. due to the high production rate, some of the headphones are defective when they come off of the production line. the probability that a set of headphones is defective is 0.39%. find the probability that one of the first 30 sets of headphones are defective. a.11% b.12% c.70% d.99%

The correct answer is 11%

10.44%

Step-by-step explanation:

Given that

Soundtronics is a company that manufactures inexpensive headphones at a high volume. Due to the high production rate, some of the headphones are defective when they come off of the production line. The probability that a set of headphones is defective is 0.39%.

Let X be the no of defectives in the set of 30 sets.

THen since each set is independent of the other and if being defective is considered as a success,

then X is binomial with

The probability that one of the first 30 sets of headphones are defective.

=30C1pq^29

=0.1044

No option given matches with this

Answer is 10.44%

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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